GATE EE
Power System Analysis
Previous Years Questions

## Marks 1

A 1000 $$\times$$ 1000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission l...
A $$3$$-bus power system is shown in the figure below, where the diagonal elements of $$Y$$-bus matrix are: $${Y_{11}} = - j12\,pu,\,\,\,{Y_{22}} = ... A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator b... The figure show the per-phase representation of a phase-shifting transformer connected between buses$$1$$and$$2,$$where$$\alpha $$is a complex n... In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is$$\,100\,\, \times \,\,100.$$If there are ... The magnitude of three-phase fault currents at buses A and B of a power system are 10 pu and 8 pu, respectively. Neglect all resistances in the system... In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the... A$$3$$-bus power system network consists of$$3$$transmission lines. The bus admittance matrix of the uncompensated system is$$\left[ {\matrix{ ...
A 183-bus power system has 150PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coo...
The bus admittance matrix of a three-bus three-line system is $$y = j\left[ {\matrix{ { - 13} & {10} & 5 \cr {10} & { - 18} & ... A power system consists of$$300$$buses out of which$$20$$buses are generator buses,$$25$$buses are the ones with reactive power support and$$15...
If the reference bus is changed in two load flow runs with same system data and power obtained for reference bus taken as specified P and Q in the lat...
In load-flow analysis, a voltage-controlled bus is treated as a load bus in subsequent iteration for a _________limit is violated.
In load flow analysis, the load connected at a bus is represented as
In load flow studies of a power system, the quantities specified at a voltage-controlled bus are ____________and___________

## Marks 2

The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, P = 1.4 sin $$\delta$$ + 0.1...
The bus admittance matrix for a power system network is $$\left[ {\matrix{ { - j39.9} & {j20} & {j20} \cr {j20} & { - j39.9} &... Determine the correctness or otherwise of the following Assertion (a) and the Reason (R). Assertion (A): Fast decoupled load flow method gives approx... For a power system network with$$n$$nodes,$${Z_{33}}$$of its bus impedance matrix is$$j0.5$$per unit. The voltage at mode$$3$$is$$1.3\angle ...
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistanc...
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistanc...
A three–bus network is shown in the figure below indicating the p.u. impedances of each element The bus admittance matrix, $$Y$$-$$bus,$$ of the net...
For the $${Y_{bus}}$$ matrix of a $$4$$-bus system given in per unit, the buses having shunt elements are $${Y_{BUS}} = j\left[ {\matrix{ { - 5} &... The Gauss Seidel load flow method has following disadvantages. Tick the incorrect student. For a power system the admittance and impedance matrices for the fault studies are as follows.$$\eqalign{ & {Y_{bus}} = \left[ {\matrix{ { ... For a power system the admittance and impedance matrices for the fault studies are as follows. \eqalign{ & {Y_{bus}} = \left[ {\matrix{ { ... The network shown in the given figure has impedances in p.u. as indicated. The diagonal elementY22$$of the bus admittance matrix$${Y_{BUS}}$$of ... The bus impedance matrix of a$$4$$-bus power system is given by$${Z_{bus}} = \left[ {\matrix{ {j0.3435} & {j0.2860} & {j0.2723} & {j...
A power system consists of 2 areas (Area 1 and Area 2) connected by a single tie line (figure). It is required to carry out a load flow study on this ...

## Marks 5

Two transposed $$3$$ phase lines run parallel to each other. The equation describing the voltage drop in both lines is given below. Compute the sel...
For the $$Y$$-$$bus$$ matrix given in per unit values, where the first, second, third and fourth row refers to bus $$1, 2, 3$$ and $$4$$ respectively,...
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